Gt - can you please explain the following problem? (q 30 , p 15)

S3 is a permutation group on say 3 symbols 1,2,3. Then (123) represents a cyclic permutation of 3 length and so is of order 3.....In Z2, 1 bar denotes the residue class of 1, that ...

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1) Order of S3 is 6 and that of Z2 is 2, therefore S3 X Z2 is of order 12...... 2) S3 is non abelian implies S3 X Z2 is non abelian....3) Any non abelian group of order 12 is eith...

Thank you sir for explaining, I understood.

My pleasure....

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